what is the value of electric field intesity at a point between two co centric sphere

It depends upon the charges on the spheres.

It also depends upon how the charges are distributed over the spheres. If they are conductors, the charge distribution will be uniform.

The E field between conducting spheres will depend only upon the charge on the inner sphere. Think (and use) Gauss' Law.

To find the value of the electric field intensity at a point between two concentric spheres, we can use Gauss's law.

Step 1: Define the problem
Let's assume that we have two concentric spheres, with the larger sphere having a radius of R1 and the smaller sphere having a radius of R2. We want to find the electric field intensity at a point P located between the two spheres.

Step 2: Understand Gauss's law
Gauss's law states that the total electric flux through any closed surface is proportional to the total charge enclosed by that surface. Mathematically, it can be written as:

Φ = ε₀ * Q_enclosed

Where Φ is the electric flux, ε₀ is the permittivity of free space, and Q_enclosed is the total charge enclosed by the closed surface.

Step 3: Choose a Gaussian surface
In this case, we can choose a spherical Gaussian surface with a radius r between R1 and R2. This spherical surface will enclose only the smaller sphere.

Step 4: Determine the enclosed charge
Since the smaller sphere is enclosed by our chosen Gaussian surface, the enclosed charge (Q_enclosed) will be the charge on the smaller sphere. Let's denote this charge as Q2.

Step 5: Calculate the electric field intensity
Since the surface is spherical and the charge is concentrated at the center of the sphere, the electric field intensity will be constant and radially outward in direction. Using Gauss's law, we can write:

Φ = ε₀ * Q2

The electric flux through the surface can be expressed as:

Φ = E * 4πr²

where E is the electric field intensity at the point P and r is the radius of the Gaussian surface (between R1 and R2).

Combining the above equations, we get:

E * 4πr² = ε₀ * Q2

Finally, we can solve for the electric field intensity E:

E = (ε₀ * Q2) / (4πr²)

Step 6: Substitute values and calculate
Substitute the values of ε₀, Q2, and r into the equation to get the electric field intensity at point P.

It's important to note that the electric field intensity will change if the point P is located either inside or outside the smaller sphere.

To calculate the electric field intensity at a point between two concentric spheres, you can use the principle of superposition.

The electric field intensity at a point due to a charged sphere can be calculated using the formula:

E = (k * Q) / (r^2),

where E is the electric field intensity, k is the electrostatic constant (approximately 9 x 10^9 Nm^2/C^2), Q is the charge on the sphere, and r is the distance from the center of the sphere to the point.

For two concentric spheres, you need to consider the electric field contributions from each sphere separately and then add them together.

1. Determine the electric field from the outer sphere:
- Calculate the electric field intensity using E = (k * Q_outer) / (r_outer^2), where Q_outer is the charge on the outer sphere and r_outer is the distance from the center of the outer sphere to the point of interest.

2. Determine the electric field from the inner sphere:
- Calculate the electric field intensity using E = (k * Q_inner) / (r_inner^2), where Q_inner is the charge on the inner sphere and r_inner is the distance from the center of the inner sphere to the point of interest.

3. Add the electric field intensities from both spheres together:
- E_total = E_outer + E_inner.

By following these steps, you can calculate the electric field intensity at a point between two concentric spheres.